Evaluate The Expression: { (-6) + 8 + 7$}$A. 9 B. 6 C. 15 D. 21

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Understanding the Expression

When evaluating an expression, it's essential to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this case, we have a simple expression with addition and subtraction operations.

Breaking Down the Expression

The given expression is {(-6) + 8 + 7$}$. To evaluate this expression, we need to follow the order of operations and perform the addition and subtraction operations from left to right.

Evaluating the Expression

First, we need to evaluate the expression inside the parentheses, which is −6{-6}. This is a negative number, so we can leave it as is.

Next, we need to add 8 to -6. When we add a positive number to a negative number, we need to subtract the absolute value of the negative number from the positive number. In this case, we have:

−6+8=2{-6 + 8 = 2}

Now, we need to add 7 to 2. When we add a positive number to a positive number, we simply add the two numbers together:

−6+8+7=2+7=9{-6 + 8 + 7 = 2 + 7 = 9}

Conclusion

Therefore, the correct answer is A. 9.

Tips for Evaluating Expressions

When evaluating expressions, it's essential to follow the order of operations and perform the operations from left to right. Here are some tips to help you evaluate expressions:

  • Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
  • Perform operations inside parentheses first.
  • Evaluate exponents next.
  • Perform multiplication and division operations from left to right.
  • Finally, perform addition and subtraction operations from left to right.

Practice Problems

Here are some practice problems to help you evaluate expressions:

  • Evaluate the expression: {(-3) + 5 + 2$}$
  • Evaluate the expression: {(4) - 2 + 1$}$
  • Evaluate the expression: {(-2) + 3 + 4$}$

Common Mistakes

When evaluating expressions, it's easy to make mistakes. Here are some common mistakes to avoid:

  • Not following the order of operations.
  • Not performing operations inside parentheses first.
  • Not evaluating exponents correctly.
  • Not performing multiplication and division operations from left to right.
  • Not performing addition and subtraction operations from left to right.

Conclusion

Evaluating expressions is an essential skill in mathematics. By following the order of operations and performing operations from left to right, you can evaluate expressions correctly. Remember to practice regularly to improve your skills and avoid common mistakes.

Final Answer

The final answer is A. 9.

Frequently Asked Questions

Q: What is the order of operations?

A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is:

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I evaluate an expression with parentheses?

A: When evaluating an expression with parentheses, we need to follow the order of operations and evaluate the expression inside the parentheses first. For example, if we have the expression {(-6) + 8 + 7$}$, we need to evaluate the expression inside the parentheses first, which is −6{-6}.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both operations that we use to combine numbers. The difference between addition and subtraction is that addition is used to combine two or more numbers by adding them together, while subtraction is used to find the difference between two numbers.

Q: How do I evaluate an expression with multiple operations?

A: When evaluating an expression with multiple operations, we need to follow the order of operations and perform the operations from left to right. For example, if we have the expression {(-6) + 8 + 7$}$, we need to evaluate the expression from left to right, starting with the first operation, which is −6+8{-6 + 8}.

Q: What is the final answer to the expression {(-6) + 8 + 7$}$?

A: The final answer to the expression {(-6) + 8 + 7$}$ is 9.

Q: Can you provide more practice problems?

A: Here are some more practice problems to help you evaluate expressions:

  • Evaluate the expression: {(-3) + 5 + 2$}$
  • Evaluate the expression: {(4) - 2 + 1$}$
  • Evaluate the expression: {(-2) + 3 + 4$}$

Q: What are some common mistakes to avoid when evaluating expressions?

A: Some common mistakes to avoid when evaluating expressions include:

  • Not following the order of operations.
  • Not performing operations inside parentheses first.
  • Not evaluating exponents correctly.
  • Not performing multiplication and division operations from left to right.
  • Not performing addition and subtraction operations from left to right.

Q: How can I improve my skills in evaluating expressions?

A: To improve your skills in evaluating expressions, you can practice regularly and try to identify common mistakes. You can also try to evaluate expressions with multiple operations and use different types of numbers, such as positive and negative numbers.

Conclusion

Evaluating expressions is an essential skill in mathematics. By following the order of operations and performing operations from left to right, you can evaluate expressions correctly. Remember to practice regularly to improve your skills and avoid common mistakes.

Final Answer

The final answer is A. 9.